Calculation and Analysis of Specific Magnetic-Loss Density for Hysteresis due to Steel-Magnetization Reversal over Minor Magnetic-Hysteresis Loops

Abstract

An interrelation is shown to be valid and grounded between the density of specific magnetic-hysteresis loss Wh and of steels measured over minor magnetic-hysteresis loops under magnetization reversal, as well as technical saturation magnetization Ms, coercive force Hcs, remanent magnetization Mrs measured over the saturation-hysteresis loop, and maximum strength of the magnetizing field Hm measured over a minor hysteresis loop. A formula is found that allows one to calculate Wh for steels based on their Ms, Hcs, Mrs, and Hm. The features of the effect of the magnetic properties of steels exerted on Wh depending on Hm are analyzed. It is established that, with increasing Hm, the changes in Mrs affect the value of Wh to a lesser extent. At the same time, the increase in Mrs always causes an increase in Wh. On the contrary, the increase in Hcs leads to increasing Wh only in the case of steel magnetization reversal in strong fields. In the case of Hm<Hcs, the dependence of Wh(Hcs) becomes inverse. This phenomenon is a physical property of ferromagnetic materials under magnetization reversal in weak magnetic fields. Another consequence of this property consists in a change in the dependence of Wh for carbonized heat-treated steels on tempering temperature Tt from inverse to direct at small Hm. So, for example, at small Hm, the dependence of Wh(Tt) for steel 30 becomes monotonous for the entire feasible range of Tt. This is a prerequisite for using the Wh parameter measured in a small magnetizing field and for quality control of mid- and high-temperature tempering of medium-carbon steels.